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Finding the Fourth Proportional to 1,608.22, 2,412.33 and 568.24

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Solution

The fourth proportional to 1,608.22, 2,412.33 and 568.24 is: 852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.22 : 2,412.33 = 568.24 : x
  2. Step 2: Convert to fraction form
    1,608.22/2,412.33 = 568.24/x
  3. Step 3: Cross multiply
    1,608.22x = 2,412.33 × 568.24
  4. Step 4: Simplify right side
    1,608.22x = 1,370,782.40
  5. Step 5: Solve for x
    x = 1,370,782.40/1,608.22
  6. Step 6: Final answer
    x = 852.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.